To write the number 1,976 in expanded form, we break it down into its place values:
- The digit '1' is in the thousands place, representing 1,000.
- The digit '9' is in the hundreds place, representing 900.
- The digit '7' is in the tens place, representing 70.
- The digit '6' is in the ones place, representing 6.
So, the expanded form of 1,976 is:
1,000 + 900 + 70 + 6
This can also be expressed using multiplication as follows:
(1 x 1,000) + (9 x 100) + (7 x 10) + (6 x 1)
Now looking at the options provided, we can find which one matches this breakdown:
A. (9 x 1,000) + (1 x 100) + (7 x 10) + (6 x 1) (Incorrect) B. (1 x 100) + (9 x 100) + (7 x 10) + (6 x 1) (Incorrect) C. (9 x 1,000) + (1 x 100) + (6 x 10) + (7 x 1) (Incorrect) D. (1 x 1,000) + (9 x 100) + (7 x 10) + (6 x 1) (Correct)
The correct answer is D. (1 x 1,000) + (9 x 100) + (7 x 10) + (6 x 1).